SOLUTION: Simplify do not solve (cos x)/(csc x

SOLUTION: Simplify do not solve (cos x)/(csc x - sin x)

Question 515391: Simplify do not solve (cos x)/(csc x - sin x)
Answer by drcole(72) (Show Source): You can put this solution on YOUR website!
Recall that . So we substitute this into our expression and work from there:

(substituting)
(putting all of the terms in the denominator under a common denominator)
(combining fractions in the denominator)
(simplifying the complex fraction by multiplying by the reciprocal of the denominator)
Now recall that , so . So, substituting for , we get:
(substituting)
(canceling one )
(remembering that )
So our expression simplified to .
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